Question

. a and b are two positive integers such that the least
prime factor of a is 3 and the least prime factor
of b is 5. Then, calculate the least prime factor of
(a+b).
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Answer 1

Answer:

Step-by-step explanation:

A and b are two positive integers such that least prime factor of a is 3 and b is 5 . Find the least prime factor of (a+b).

I think a+b will be even no. as a is odd and b is odd,this odd +odd =even

Least prime factor of a even no is 2.

Ans is 2

Answer 2

Answer:

Step-by-step explanation:

Given that, a is a positive integer and 3 is the least prime factor of a.

Also, b is a positive integer and 5 is the least prime factor of b.

Since least prime factor of a is 3, it means that a is an odd number.

So, if a is even then 2 is the least prime factor of a.

Similarly, b is also an odd number.

Now, it is known that sum of two odd numbers is an even number.

Hence, a + b will be an even number.

So, the least prime factor of a + b is 2